NEVER use baking soda, vinegar or any other acid substance on any circuit board!
The best thing to do is use Isopropyl alcohol to neutralize the battery acid. Use a toothbrush to get in hard-to-reach areas.
Then rinse the board with 50/50 alcohol and water.
ANY damaged semiconductor must be removed and replaced to prevent further occurrances with battery acid.
If you know electronics, use a multimeter to perform continunity tests. Any bad trace is considered useless and new traces must be soldered. If you do not know how, send the board to an Amiga repair specialist. Yes, send the pic to me.
Hope this helps.